Possibility of automatic Pauli-Villars-like regularization through extra dimensions

Abstract

Fermions in a space with some extra dimensional reflection symmetries are considered. In this space only one Kaluza-Klein mode is observed at the scales larger than the sizes of the extra dimensions while at the smaller scales all modes become observable. The resulting picture suggests that this model has a built-in Pauli-Villars-like regularization as its inherent characteristic.